Finding the Third Proportional to 616,900 and 840,422

Step by Step Solution

1. Step 1: Write the proportion equation
   616,900 : 840,422 = 840,422 : x
2. Step 2: Convert to fraction form
   616,900/840,422 = 840,422/x
3. Step 3: Cross multiply
   616,900x = 840,422 × 840,422
4. Step 4: Simplify right side
   616,900x = 706,309,138,084
5. Step 5: Solve for x
   x = 706,309,138,084/616,900
6. Step 6: Final answer
   x = 1,144,932.95